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Finding the Fourth Proportional to 22,267.50, 30,731.31 and 12,331.50

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Solution

The fourth proportional to 22,267.50, 30,731.31 and 12,331.50 is: 17,018.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,267.50 : 30,731.31 = 12,331.50 : x
  2. Step 2: Convert to fraction form
    22,267.50/30,731.31 = 12,331.50/x
  3. Step 3: Cross multiply
    22,267.50x = 30,731.31 × 12,331.50
  4. Step 4: Simplify right side
    22,267.50x = 378,963,149.27
  5. Step 5: Solve for x
    x = 378,963,149.27/22,267.50
  6. Step 6: Final answer
    x = 17,018.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.